What is the answer to |x-4|=3x-6 ?

The answer to |x-4|=3x-6 is x= 5/2

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|x-4|=3x-6

∣ x - 4 ∣ = 3 x - 6

x = \frac{5}{2}

Solution steps

∣ x - 4 ∣ = 3 x - 6

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = \frac{5}{2} or No Solution

x = \frac{5}{2}

4 ∣ 8 x ∣ + 5 = 25

∣ 5 x - 24 ∣ = x

∣ x - 4 ∣ = - \frac{7}{3}

∣ - x ∣ = 3.5

∣ y ∣ + 4 = - 59